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Finding the Fourth Proportional to 3,007.96, 4,151.00 and 1,681.69

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Solution

The fourth proportional to 3,007.96, 4,151.00 and 1,681.69 is: 2,320.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,007.96 : 4,151.00 = 1,681.69 : x
  2. Step 2: Convert to fraction form
    3,007.96/4,151.00 = 1,681.69/x
  3. Step 3: Cross multiply
    3,007.96x = 4,151.00 × 1,681.69
  4. Step 4: Simplify right side
    3,007.96x = 6,980,686.78
  5. Step 5: Solve for x
    x = 6,980,686.78/3,007.96
  6. Step 6: Final answer
    x = 2,320.74

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.